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Finding the Fourth Proportional to 577,853.98, 797,418.32 and 319,726.82

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Solution

The fourth proportional to 577,853.98, 797,418.32 and 319,726.82 is: 441,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,853.98 : 797,418.32 = 319,726.82 : x
  2. Step 2: Convert to fraction form
    577,853.98/797,418.32 = 319,726.82/x
  3. Step 3: Cross multiply
    577,853.98x = 797,418.32 × 319,726.82
  4. Step 4: Simplify right side
    577,853.98x = 254,956,023,663.34
  5. Step 5: Solve for x
    x = 254,956,023,663.34/577,853.98
  6. Step 6: Final answer
    x = 441,211.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.